Explanation Given: The first term of geometric sequence is a = 2 and common ratio is r = 3 . Explanation: Use the formula for the n th term of a geometric sequence with the first term a and common ratio r : T n = a r n − 1 Substitute a = 2 and r = 3 for the given geometric sequence: T n = 2 × 3 n − 1 The first term of the sequence will be T 1 = 2 × 3 1 − 1 = 2 For the second term of the sequence, substitute n = 2 : T 2 = 2 × 3 2 − 1 = 2 × 3 1 = 2 × 3 = 6 For the third term of the sequence, substitute n = 3 :

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 5, Problem 29RE

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The first five terms of the geometric sequence with a=2 and r=3.

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Chapter 5, Problem 28RE

Chapter 5, Problem 30RE

Chapter 5 Solutions

Finite Mathematics (11th Edition)

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The first five terms of the geometric sequence with a = 2 and r = 3 .

Solution Summary: The author explains the formula for the nth term of the geometric sequence with the first term a and common ratio r.

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The first five terms of the geometric sequence with a=2 and r=3.

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Chapter 5 Solutions